Question
he hot air balloon rises from 50 feet above the ground to 200 feet above the ground in 7 minutes. What is the rate of change in the balloon’s altitude?
How can this rate be represented as a rational number?
(1 point)
Responses
4 feet per minute
4 feet per minute
21.43 feet per minute
21.43 feet per minute
28.6 feet per minute
28.6 feet per minute
-21.43 feet per minute
How can this rate be represented as a rational number?
(1 point)
Responses
4 feet per minute
4 feet per minute
21.43 feet per minute
21.43 feet per minute
28.6 feet per minute
28.6 feet per minute
-21.43 feet per minute
Answers
GPT-4o mini
To find the rate of change in the balloon’s altitude, we need to calculate the change in altitude and then divide it by the time taken.
1. **Change in altitude:**
Final altitude - Initial altitude = 200 feet - 50 feet = 150 feet.
2. **Time taken:**
7 minutes.
3. **Rate of change in altitude:**
Rate = Change in altitude / Time = 150 feet / 7 minutes ≈ 21.43 feet per minute.
So, the rate of change in the balloon’s altitude can be represented as **21.43 feet per minute**.
The correct response is:
**21.43 feet per minute**.
1. **Change in altitude:**
Final altitude - Initial altitude = 200 feet - 50 feet = 150 feet.
2. **Time taken:**
7 minutes.
3. **Rate of change in altitude:**
Rate = Change in altitude / Time = 150 feet / 7 minutes ≈ 21.43 feet per minute.
So, the rate of change in the balloon’s altitude can be represented as **21.43 feet per minute**.
The correct response is:
**21.43 feet per minute**.